My understanding is that a magnetron is a magnetron and that all the real action happens in the MFD. this would suggest the possibility of similar data coming out of all radar domes.
Again, this is not an area that I have any expertise. I find it highly unlikely the data is compatible but again I can’t actually answer the question.
I have never compared the dome components between Furuno and Raymarine. Frankly, I don’t see any reason to mix n match magnetrons.
In the case of Axiom, I believe they have moved some of the processing into the radardome. For sure all analog data is converted to digital. This would make it much less likely to be compatible with a different manufacturer’s radar dome.